The Saito module and the moduli of a germ of curve in (ℂ²,0)

2020/09/19 by Genzmer, Yohann
#32G05 #32G13 #32G34 #34M35 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.09194

Abstract

We study properties of the module of vector fields tangent to a given germ of curve in the complex plane ℂ². As a consequence, we obtain a conjectural algorithm to compute the generic dimension of its moduli space. For some families of curves, we proved that this algorithm provides the correct dimension.

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